What is the Least Common Multiple of 99414 and 99434?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 99414 and 99434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99414 and 99434, than apply into the LCM equation.

GCF(99414,99434) = 2
LCM(99414,99434) = ( 99414 × 99434) / 2
LCM(99414,99434) = 9885131676 / 2
LCM(99414,99434) = 4942565838

Least Common Multiple (LCM) of 99414 and 99434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99414 and 99434. First we will calculate the prime factors of 99414 and 99434.

Prime Factorization of 99414

Prime Factorization of 99434

Now multiplying the highest exponent prime factors to calculate the LCM of 99414 and 99434.

LCM(99414,99434) = 2¹ × 3³ × 7¹ × 263¹ × 83¹ × 599¹
LCM(99414,99434) = 4942565838